Topological and measure properties of some self-similar sets

Taras Banakh, Artur Bartoszewicz, Malgorzata Filipczak +1

Given a finite subset $\Sigma \subset \mathbb{R}$ and a positive real number $q<1$ we study topological and measure-theoretic properties of the self-similar set $K(Σ;q)=\big\{\sum_{n=0}^\…